James just began a job as a nurse. he is given a starting salary of $66,640 per year. he is also told that his salary will increase to $73,400 in 8 years. assume that x = the years worked and y = salary in dollars. using this information, find the following answers: what is the rate of change of james’ salary? instructions: find the slope by first creating two points in the form (years, salary), and then calculate the slope using the correct slope formula. create the slope-intercept equation of the line that represents james’ salary. include an explanation of what the variables represent and how you know their placement. using your equation in (2), find the value of james’ salary in 23 years.

the rate of change of James’ salary is $845 dollars per year

y = 845x + 66640

the value of James’ salary in 23 years=$86,075

Step-by-step explanation:

Let x = the years worked and y = Salary in dollars

When x=0 then y = 66640

when x= 8 then y = 73400

Two points are (0,66640)  and (8,73400)

Rate of change of salary is the slope

To find slope we use formula

the rate of change of James’ salary is $845 dollars per year

Slope intercept form of equation is y=mx+b

m = 845 , b is the y intercept (initial salary)

so y = 845x + 66640

Now we find out salary in 23 years

plug in 23 for x in the y equation

y = 845x + 66640

y = 845(23) + 66640=86075

the value of James’ salary in 23 years=$86,075

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

d 25 pi/6

step-by-step explanation:

the diameter is 10 inches

the radius is 1/2 of the diameter or 5 inches

the area of the circle is

a = pi r^2

  = pi 5^2

  = 25 pi

the slice is 60 degrees of the entire circle.

60 degrees out of 360   60/360 = 1/6

the area of the slice is 1/6 of the circle

a slice = 1/6 a circle

a slice = 1/6 * 25 pi